Title :
Construction of uninorms on bounded lattices
Author :
Bodjanova, Slavka ; Kalina, Martin
Author_Institution :
Dept. of Math., Texas A&M Univ. - Kingsville, Kingsville, TX, USA
Abstract :
Karaçal and Mesiar showed that it is possible to construct uninorms on an arbitrary bounded lattice. Particularly, they constructed the weakest and the strongest uninorm. In this paper another method for a construction of uninorms on bounded lattices is proposed. The cases of general bounded lattices as well as bounded lattices equipped with a special arithmetic operation, are discussed.
Keywords :
algebra; fuzzy set theory; arbitrary bounded lattice; arithmetic operation; bounded lattices; uninorm construction; Algebra; Generators; Informatics; Intelligent systems; Lattices; Terrorism; MV-algebra; bounded lattice; conjunctive uninorm; disjunctive uninorm; lattice-ordered group; uninorm on bounded lattice;
Conference_Titel :
Intelligent Systems and Informatics (SISY), 2014 IEEE 12th International Symposium on
Conference_Location :
Subotica
DOI :
10.1109/SISY.2014.6923558
